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Moments of the three-parameter Fermi distribution

L. Zhang

School of Information Engineering, Hangzhou Dianzi University, Hangzhou 310018, P. R. China

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Y. Gao

School of Information Engineering, Hangzhou Dianzi University, Hangzhou 310018, P. R. China

E-mail Address: gaoyuan@impcas.ac.cn

Corresponding author

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H. Zheng

Laboratori Nazionali del Sud, INFN, via Santa Sofia, 62, Catania 95123, Italy

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M. R. Huang

College of Physics and Electronics information, Inner Mongolia University for Nationalities, Tongliao 028000, P. R. China

Cyclotron Institute, Texas A&M University, College Station, TX 77843, USA

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, and

X. Liu

Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, P. R. China

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https://doi.org/10.1142/S0217732317501954Cited by:4 (Source: Crossref)

Abstract

The moments $〈 r^{m} 〉$ of the spherical three-parameter Fermi distribution (3pF) are presented for $m = 1$ to 8 as a function of the parameter $w$ , the half-density radius $c$ and the diffuseness parameter $a$ through the introduced parameter $β = π a / c$ , which can be applied to study the neutron skin in neutron rich nuclei. The general expression of the moment can be written as the combination of integrals $I_{n} (k, w)$ with $k = c / a$ . The errors of the analytic moments $〈 r^{m} 〉$ are estimated with the typical values of the parameters in 3pF compared with the numerical results.

Keywords:

PACS: 21.10.Gv, 29.85.Fj

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